SEIR+D Model of Tuberculosis

Stojkovic, Natasa and Kukuseva, Maja and Stojanova, Aleksandra and Martinovska Bande, Cveta (2023) SEIR+D Model of Tuberculosis. Balkan Journal of Applied Mathematics and Informatics, 6 (2). pp. 115-123. ISSN 2545-4083

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Abstract

Tuberculosis (TB) is a highly contagious infectious disease caused by the bacterium Mycobacterium tuberculosis. It primarily affects the lungs but can also affect other parts of the body. TB poses a significant global health burden, with millions of new cases and deaths reported each year. Understanding the spread of tuberculosis and evaluating control measures are crucial for effective disease management.The SEIR model is a commonly used mathematical framework for studying the spread of infectious diseases. It divides the population into four compartments: Susceptible (S), Exposed (E), Infectious (I), and Recovered (R). In the case of tuberculosis, an additional compartment for the number of deaths (D) is included. The model tracks the flow of individuals between these compartments over time.In the paper SEIR+D model is used to study and simulate the spread of tuberculosis. The simulation of the model onthe sample of 10000 individuals is performed. The result of the simulation shows that the number of infected and deadindividuals is high. These results are obtained, because in the model it is assumed that the population is not vaccinated. Future research willbe focusedon the development of the model for tuberculosis with vaccination compartment

Item Type:	Article
Subjects:	Natural sciences > Computer and information sciences Natural sciences > Matematics
Divisions:	Faculty of Computer Science
Depositing User:	Maja Kukuseva
Date Deposited:	12 Dec 2023 11:58
Last Modified:	12 Dec 2023 11:58
URI:	https://eprints.ugd.edu.mk/id/eprint/32861

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